Edge Unit 2 Test Review: Linear Functions

Which table represents a linear function?

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Timmy writes the equation f(x) =1/4 x – 1. He then doubles both of the terms on the right side to create the equation g(x) = 1/2x – 2. How does the graph of g(x) compare to the graph of f(x)?

• The line of g(x) is steeper and has a higher y-intercept.

• The line of g(x) is less steep and has a lower y-intercept.

• The line of g(x) is steeper and has a lower y-intercept.

• The line of g(x) is less steep and has a higher y-intercept.

Mr. Shaw graphs the function f(x) = –5x + 2 for his class. The line contains the point (-2, 12). What is the point-slope form of the equation of the line he graphed?

• y – 12 = –5(x + 2)

• y – 12 = 2(x + 2)

• y + 12 = 2(x – 2)

• y + 12 = –5(x – 2)

The table represents a linear equation. Which equation correctly uses point (–2, –6) to write the equation of this line in point-slope form?

• y – 6 =5/2 (x – 2)

• y – 6 = 2/5(x – 2)

• y + 6 = 2/5(x + 2)

• y + 6 = 5/2(x + 2)

At a glance, Kendra believes that the function represented on the graph is linear. How can Kendra determine if the function is actually linear?

• She can check to see if the rate of vertical increase equals the rate of horizontal increase between each pair of points.

• She can check to see if the sum of each y-value and x-value in every ordered pair is the same.

• She can check to see if the quotient of each y-value and x-value in every ordered pair is the same.

• She can check to see if the rate of change between the first two ordered pairs is the same as the rate of change between the first and last ordered pairs.

Which table represents a linear function?

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Mrs. Jackson gives the table below to her students. In order for the function to be linear, what must a be and why?

• a = 22 because the rate of change is 1.

• a = 20 because the rate of change is 3.

• a = 22 because the rate of change is –1.

• a = 20 because the rate of change is –3.

Which equation represents the graphed function?

• y = 4x – 2

• y = –4x – 2

• y =1/4 x – 2

• y = – 1/4x – 2

The table represents a linear function. What is the slope of the function?

• -8

• -4

• 2

• 5

How does the slope of g(x) compare to the slope of f(x)?

• The slope of g(x) is the opposite of the slope of f(x).

• The slope of g(x) is less than the slope of f(x).

• The slope of g(x) is greater than the slope of f(x).

• The slope of g(x) is equal to the slope of f(x).